数学最新文献_第10页

Cyclic cubic points on higher genus curves 高属曲线上的循环三次点

IF 1.2 2区数学

Journal of the London Mathematical Society-Second Series Pub Date : 2025-09-11 DOI: 10.1112/jlms.70288

James Rawson

{"title":"Cyclic cubic points on higher genus curves","authors":"James Rawson","doi":"10.1112/jlms.70288","DOIUrl":"https://doi.org/10.1112/jlms.70288","url":null,"abstract":"The distribution of degree <math>\u0000 <semantics>\u0000 <mi>d</mi>\u0000 <annotation>$d$</annotation>\u0000 </semantics></math> points on curves is well understood, especially for low degrees. We refine this study to include information on the Galois group in the simplest interesting case: <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>d</mi>\u0000 <mo>=</mo>\u0000 <mn>3</mn>\u0000 </mrow>\u0000 <annotation>$d = 3$</annotation>\u0000 </semantics></math>. For curves of genus at least 5, we show cubic points with Galois group <math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>C</mi>\u0000 <mn>3</mn>\u0000 </msub>\u0000 <annotation>$C_3$</annotation>\u0000 </semantics></math> arise from well-structured morphisms, along with providing computable tests for the existence of such morphisms. We prove the same for curves of lower genus under some geometric or arithmetic assumptions.","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"112 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://londmathsoc.onlinelibrary.wiley.com/doi/epdf/10.1112/jlms.70288","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Cosmological interactions with phantom scalar field: Revisiting background phase-space analysis with compactified variables 幻影标量场的宇宙学相互作用：用紧化变量回顾背景相空间分析

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-11 DOI: 10.1016/j.chaos.2025.117170

Genly Leon , Daya Shankar , Amlan Halder , Andronikos Paliathanasis

引用次数: 0

On the stationary magneto-convective motion of compressible full MHD equations in an infinite horizontal layer 无限水平层中可压缩全MHD方程的静止磁对流运动

IF 2.3 2区数学

Journal of Differential Equations Pub Date : 2025-09-11 DOI: 10.1016/j.jde.2025.113744

Rachid Benabidallah , François Ebobisse , Mohamed Azouz

引用次数: 0

Averaging principle for stochastic fractional differential equations driven by Tempered Fractional Brownian Motion with two-time-scale Markov switching 双时间尺度马尔可夫切换下调质分数阶布朗运动驱动随机分数阶微分方程的平均原理

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-09-11 DOI: 10.1016/j.matcom.2025.09.003

Hengzhi Zhao , Qin Wu , Jiwei Zhang , Jing Lu , Dongsheng Lv

引用次数: 0

Stable intersections of conformal regular Cantor sets with large Hausdorff dimensions 具有大Hausdorff维数的共形正则Cantor集的稳定交

IF 1.5 1区数学

Advances in Mathematics Pub Date : 2025-09-11 DOI: 10.1016/j.aim.2025.110507

Hugo Araújo , Carlos Gustavo Moreira , Alex Zamudio Espinosa

引用次数: 0

On the vertices belonging to all edge metric bases 在属于所有边度量基的顶点上

IF 1 3区数学

Discrete Applied Mathematics Pub Date : 2025-09-11 DOI: 10.1016/j.dam.2025.08.054

Anni Hakanen , Ville Junnila , Tero Laihonen , Ismael G. Yero

{"title":"On the vertices belonging to all edge metric bases","authors":"Anni Hakanen , Ville Junnila , Tero Laihonen , Ismael G. Yero","doi":"10.1016/j.dam.2025.08.054","DOIUrl":"10.1016/j.dam.2025.08.054","url":null,"abstract":"<div><div>An edge metric basis of a connected graph <math><mi>G</mi></math> is a smallest possible set of vertices <math><mi>S</mi></math> of <math><mi>G</mi></math> satisfying the following: for any two edges <math><mrow><mi>e</mi><mo>,</mo><mi>f</mi></mrow></math> of <math><mi>G</mi></math> there is a vertex <math><mrow><mi>s</mi><mo>∈</mo><mi>S</mi></mrow></math> such that the distances from <math><mi>s</mi></math> to <math><mi>e</mi></math> and <math><mi>f</mi></math> differ. The cardinality of an edge metric basis is the edge metric dimension of <math><mi>G</mi></math>. In this article we consider the existence of vertices in a graph <math><mi>G</mi></math> such that they must belong to each edge metric basis of <math><mi>G</mi></math>, and we call them edge basis forced vertices. On the other hand, we name edge void vertices those vertices which do not belong to any edge metric basis. Among other results, we first deal with the computational complexity of deciding whether a given vertex is an edge basis forced vertex or an edge void vertex. We also establish some tight bounds on the number of edge basis forced vertices of a graph, as well as, on the number of edges in a graph having at least one edge basis forced vertex. Moreover, we show some realization results concerning which values for the integers <math><mi>n</mi></math>, <math><mi>k</mi></math> and <math><mi>f</mi></math> allow to confirm the existence of a graph <math><mi>G</mi></math> with <math><mi>n</mi></math> vertices, <math><mi>f</mi></math> edge basis forced vertices and edge metric dimension <math><mi>k</mi></math>.</div></div>","PeriodicalId":50573,"journal":{"name":"Discrete Applied Mathematics","volume":"379 ","pages":"Pages 339-354"},"PeriodicalIF":1.0,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145049048","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Designing reaction-cross-diffusion systems with Turing and wave instabilities. 设计具有图灵和波动不稳定性的反应-交叉扩散系统。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-09-11 DOI: 10.1007/s00285-025-02274-1

Edgardo Villar-Sepúlveda, Alan R Champneys, Andrew L Krause

引用次数: 0

Characterizing and quantifying weak chaos in fractional dynamics 分数阶动力学中弱混沌的表征与量化

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-11 DOI: 10.1016/j.chaos.2025.117137

Daniel Borin , José Danilo Szezech Jr. , Matheus Rolim Sales

引用次数: 0

Uncovering ecological thresholds: Effects of external stress driven tipping point and delay in predator–prey system 揭示生态阈值：外部压力驱动的临界点和延迟对捕食者-猎物系统的影响

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-11 DOI: 10.1016/j.chaos.2025.117173

David Raju Thommandru, Soumen Kundu

{"title":"Uncovering ecological thresholds: Effects of external stress driven tipping point and delay in predator–prey system","authors":"David Raju Thommandru, Soumen Kundu","doi":"10.1016/j.chaos.2025.117173","DOIUrl":"10.1016/j.chaos.2025.117173","url":null,"abstract":"<div><div>This study delves into a predator–prey system, specifically examining the impact of a “tipping effect”, where small environmental changes can lead to abrupt and irreversible shifts in population dynamics. The model incorporates various functional responses to external stressors, which are simulated as constant, periodic, or exponentially increasing to represent diverse ecological situations. To ensure the model’s biological relevance, the positivity of its solutions is first confirmed. This is followed by a Lyapunov stability analysis of the equilibrium state to understand the system’s long-term behavior. Bifurcation analysis is then employed to identify crucial threshold parameters, such as delay and stressors, that trigger qualitative changes in the system’s dynamics. Partial Rank Correlation Coefficient (PRCC) analysis indicates that growth-related factors and interaction efficiency positively contribute to ecosystem stability. Conversely, increased predation pressure, mortality rates, and external stressors negatively impact the system’s dynamics. Our model also integrates predation delay, which is shown to influence population oscillations and contribute to the emergence of complex dynamical patterns. Extensive numerical simulations have been conducted to validate the analytical findings. These simulations demonstrate how different stressor profiles, in combination with tipping effects and delays, can lead to phenomena such as stability switches, periodic oscillations, and chaotic dynamics. These findings significantly enhance our understanding of ecological resilience and underscore the potential risks that environmental disturbances pose to predator–prey interactions.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"200 ","pages":"Article 117173"},"PeriodicalIF":5.6,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145044166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the critical behavior for the semilinear biharmonic heat equation with forcing term in exterior domain 外域带强迫项的半线性双调和热方程的临界行为

IF 2.3 2区数学

Journal of Differential Equations Pub Date : 2025-09-11 DOI: 10.1016/j.jde.2025.113758

Nurdaulet N. Tobakhanov , Berikbol T. Torebek

{"title":"On the critical behavior for the semilinear biharmonic heat equation with forcing term in exterior domain","authors":"Nurdaulet N. Tobakhanov , Berikbol T. Torebek","doi":"10.1016/j.jde.2025.113758","DOIUrl":"10.1016/j.jde.2025.113758","url":null,"abstract":"<div><div>In this paper, we investigate the critical behavior of solutions to the semilinear biharmonic heat equation with forcing term <math><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></math>, under six homogeneous boundary conditions. This paper is the first since the seminal work by Bandle et al. (2000) [24], to focus on the study of critical exponents in exterior problems for semilinear parabolic equations with a forcing term. By employing a method of test functions and comparison principle, we derive the critical exponents <math><msub><mrow><mi>p</mi></mrow><mrow><mi>C</mi><mi>r</mi><mi>i</mi><mi>t</mi></mrow></msub></math> in the sense of Fujita. Moreover, we show that <math><msub><mrow><mi>p</mi></mrow><mrow><mi>C</mi><mi>r</mi><mi>i</mi><mi>t</mi></mrow></msub><mo>=</mo><mo>∞</mo></math> if <math><mi>N</mi><mo>=</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn></math> and <math><msub><mrow><mi>p</mi></mrow><mrow><mi>C</mi><mi>r</mi><mi>i</mi><mi>t</mi></mrow></msub><mo>=</mo><mfrac><mrow><mi>N</mi></mrow><mrow><mi>N</mi><mo>−</mo><mn>4</mn></mrow></mfrac></math> if <math><mi>N</mi><mo>⩾</mo><mn>5</mn></math>. The impact of the forcing term on the critical behavior of the problem is also of interest, and thus a second critical exponent in the sense of Lee-Ni, depending on the forcing term is introduced. We also discuss the case <math><mi>f</mi><mo>≡</mo><mn>0</mn></math>, and present the finite-time blow-up results and lifespan estimates of solutions for the subcritical and critical cases. The lifespan estimates of solutions are obtained by employing the method proposed by Ikeda and Sobajama (2019) [13].</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"451 ","pages":"Article 113758"},"PeriodicalIF":2.3,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145046532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0